Sarudza kufamba kwakatwasuka kwekufamba kweprojectile

Matambudziko akagadziriswa mukufamba kwezviratidziro - sarudza kutama kwakatwasuka

1. Nhabvu inokandwa inobuda pasi nekona θ = 60 ^o , bhora rakatwasuka riine kumhanya kwekutanga kwe16 m/s. Zvinotora nguva yakareba sei bhora risati rarova pasi?

Zvinozivikanwa:

Angle ( θ ) = 60 ^o

Kumhanya kwekutanga (vo ₎ = 16 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Kutamiswa kwakatwasuka (x)

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga:

v _mombe = v _o cos θ = (16 m/s)(cos 60 ^o ) = (16 m/s)(0.5) = 8 m/s

Chikamu chakamira chekukurumidza kwekutanga:

v _oy = v _o chivi θ = (16 m/s)(chivi 60 ^o ) = (16 m/s)(0.5 √ 3 ) = 8 √ 3 m/s

Kufamba kweprojectile kunogona kunzwisiswa nekuongorora zvikamu zvekufamba zvakatwasuka uye zvakamira zvakasiyana. Kufamba kwe x kunoitika nekumhanya kwakasimba uye kufamba kwe y kunoitika nekumhanya kwakasimba kwegiravhiti nguva dzose.

Nguva iri mumhepo

Nguva yainomira mumhepo inotsanangurwa nekufamba kwe y. Tinotanga tawana nguva tichishandisa kufamba kwe y tobva tashandisa kukosha kwenguva iyi mu x equations ( constant velocity equation).

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 8 √ 3 m/s (v _o kumusoro)

Kukurumidza kwegiravhiti (g) = -10 m/s ² (g pasi)

Kureba (h) = 0 (bhora radzokera panzvimbo imwe chete)

Zvinodiwa: Nguva Mumhepo

Solution:

h = vhoti ₊ 1/2 gt ^{​​​​2}

0 = ( 8 √ 3) t + 1/2 (-10) t ²

0 = 8 √ 3 t – 5 t ²

8 √ 3 t = 5 t ²

8 (1.7) = 5 t

14 = 5 t

t = 14 / 5 = 2.8 masekondi

Kutamiswa kwakatwasuka

Zvinozivikanwa:

Kumhanya (v) = 8 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Kudiwa: Kudzingwa

Solution:

x = vt = (8 m/s)(2.8 s) = 22.4 metres

Kufamba kwakatambanuka kwemamita 22.4.

2. Muviri unotaridzwa mudenga nekona ye60 ^o , kukwirira kwawo kubva pachivako kwemamita makumi mashanu. Kumhanya kwawo kwekutanga i30 m/s. Verenga kusimuka kwakatwasuka! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle ( θ ) = 60 ^o

Kureba (h) = 15 m

Kumhanya kwekutanga (v _o ) = 30 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Aida: x

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga ::

v _mombe = v _o cos θ = (30 m/s)(cos 60 ^o ) = (30 m/s)(0.5) = 15 m/s

Chikamu chakamira chekukurumidza kwekutanga:

v _oy = v _o chivi θ = (30 m/s)(chivi 60 ^o ) = (30 m/s)(0.5 √ 3 ) = 15 √ 3 m/s

Nguva iri mumhepo

Tinotanga tawana nguva tichishandisa y motion tobva tashandisa iyi time value mu x equations (constant velocity equation). Sarudza kumusoro zvakanaka uye pasi zvakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 15 √ 3 m/s (kukwira zvakanaka)

Kukurumidza kwegiravhiti (g) = -10 m/s ² (kudzika pasi negative)

Kumusoro (h) = -50 (Pasi mamita makumi mashanu pasi penzvimbo yekutanga)

Zvaidiwa: t

Solution:

h = vhoti ₊ 1/2 gt ^{​​​​2}

-50 = ( 15 √ 3 ) t + 1/2 (-10) t ²

-50 = 15 √ 3 t – 5 t ²

5 t ² – 15 √ 3 t – 50 = 0

Verenga nguva uchishandisa fomura iyi:

a = 5, b = – 15 √ 3, c = – 50

Nguva iri mudenga imasekondi 6.7.

Kutamiswa kwakatwasuka:

Zvinozivikanwa:

Kumhanya (v) = 15 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Kudiwa: kudzingwa

Solution:

s = vt = (15 m/s)(6.7 s) = mamita 100.5

Kufamba kwakatambanuka kwemamita 100.5.

3. Bhora diki rinotaridzwa rakatwasuka nevelocity yekutanga v _o = 10 m/s kubva pachivako chakareba mamita gumi. Verenga mafambiro akatwasuka ! Kukurumidza kwegiravhiti i10 m/s ²

Zvinozivikanwa:

Kureba (h) = 10 m

Kumhanya kwekutanga (v _o ) = 10 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Aida: x

Solution:

Chikamu chakatarwa chekukurumidza kwekutanga = kumhanya kwekutanga = 10 m/s.

Nguva iri mumhepo

Nguva iri mumhepo inoverengwa uchishandisa equation yekufamba kwemvura yakasununguka.

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Kureba (h) = mamita gumi

Zvaidiwa: t

Solution:

h = 1/2 gt ^{​​​​2}

10 = 1/2 (10) t ²

10 = 5 t ²

t ² = 10 / 5 = 2

t = √2 = 1.4 masekonzi

Kutamiswa kwakatwasuka

Kufamba kwakatambanuka kunoverengwa uchishandisa equation yekufamba nevelocity isingachinji.

Zvinozivikanwa:

Kumhanya (v) = 10 m/s

Nguva yepakati (t) = masekondi gumi nemashanu

Aida: x

Solution:

s = vt = (10 m/s)(1.4 s) = mamita 14

Kufamba kwakatambanuka kwemamita 14.

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1. Gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira
2. Sarudza nzvimbo yakatambanuka
3. Sarudza kukwirira kwakanyanya
4. Sarudza nguva inosara
5. Sarudza nzvimbo yezvinhu
6. Sarudza kumhanya kwekupedzisira